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Finding the Third Proportional to 24,328 and 52,654

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Solution

The third proportional to 24,328 and 52,654 is: 113,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328 : 52,654 = 52,654 : x
  2. Step 2: Convert to fraction form
    24,328/52,654 = 52,654/x
  3. Step 3: Cross multiply
    24,328x = 52,654 × 52,654
  4. Step 4: Simplify right side
    24,328x = 2,772,443,716
  5. Step 5: Solve for x
    x = 2,772,443,716/24,328
  6. Step 6: Final answer
    x = 113,961.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.